Using a common technique for approximating distributions [generalized functions], we are able to use standard Monte Carlo methods to compute QFT quantities in Minkowski spacetime, under phase transitions, or when dealing with coalescing stationary points.
Recommended citation: D.D. Ferrante, J. Doll, G.S. Guralnik, D. Sabo. (2003). “Mollified Monte Carlo.” Nuclear Physics. B. 119(965).